The number 11700
11700 is a composite number with 54 divisors. Its prime factorisation is × × × 13. Divisors (54): 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 25, 26, 30 … 11700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11700: a Harshad number: divisible by its digit sum 9.
- 2
11700 is composite. Its prime factorisation is
- 3
The divisors add up to 39494; without 11700 itself that is 27794, so 11700 is abundant (27794 is more than 11700). Euler's totient φ(11700) = 2880 numbers up to 11700 share no factor with it.
- 4
The digits of 11700 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11700 = 2^{2} \times 3^{2} \times 5^{2} \times 13 \]11700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 54 |
| Sum of divisors | 39494 |
| Euler totient φ(n) | 2880 |
| Square | 136890000 |
| Cube | 1601613000000 |
| Square root | 108.166538 (= 30√13) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 143 |
| Scientific notation | 1.17 × |
11700 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand seven hundred |
| Binary (base 2) | 10110110110100 |
| Octal (base 8) | 26664 |
| Hexadecimal (base 16) | 2DB4 |
| Base 3 | 121001100 |
| As time | 11700 seconds = 3 h 15 min 0 s |
Is 11700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11700 ÷ 2 = 5850) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11700 ÷ 3 = 3900) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11700 ÷ 4 = 2925) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11700 ÷ 5 = 2340) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (11700 ÷ 6 = 1950) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (11700 ÷ 9 = 1300) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (11700 ÷ 10 = 1170) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11700 ÷ 12 = 975) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11700 a prime number?
No. 11700 = × × × 13, so it is divisible by 2.
What are the factors of 11700?
1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 25, 26, 30, 36, 39, 45, 50, 52, 60, 65, 75, 78, 90, 100, 117, 130, 150, 156, 180, 195, 225, 234, 260, 300, 325, 390, 450, 468, 585, 650, 780, 900, 975, 1170, 1300, 1950, 2340, 2925, 3900, 5850, 11700.
What is 11700 in binary?
10110110110100 (hexadecimal 2DB4, octal 26664).
What is the square root of 11700?
About 108.1665, exactly 30√13.
Is 11700 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 11700?
11700 is a Harshad number: divisible by its digit sum 9.